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Simplifying 7x + 5y + 4z + -1x + 3z + -6y = 0 Reorder the terms: 7x + -1x + 5y + -6y + 4z + 3z = 0 Combine like terms: 7x + -1x = 6x 6x + 5y + -6y + 4z + 3z = 0 Combine like terms: 5y + -6y = -1y 6x + -1y + 4z + 3z = 0 Combine like terms: 4z + 3z = 7z 6x + -1y + 7z = 0 Solving 6x + -1y + 7z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. 6x + -1y + y + 7z = 0 + y Combine like terms: -1y + y = 0 6x + 0 + 7z = 0 + y 6x + 7z = 0 + y Remove the zero: 6x + 7z = y Add '-7z' to each side of the equation. 6x + 7z + -7z = y + -7z Combine like terms: 7z + -7z = 0 6x + 0 = y + -7z 6x = y + -7z Divide each side by '6'. x = 0.1666666667y + -1.166666667z Simplifying x = 0.1666666667y + -1.166666667z
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